9 8ths equal temperament

9/8 equal temperament

Using a Just 9/8 whole tone as the basis of an equal temperament tuning results in an interesting non-octave tuning. As every interval is a multiple of 9/8, the resultant tuning would be a subset of 3-limit Just Intonation. This can be also viewed as generating a subset of baldy temperament.

Below is the scala file I used to generate A Bowl of Tibetan Bells by Chris Vaisvil (composition details)
and A Sonnet for Albert Einstein by Chris Vaisvil (details)


! E:\Cakewalk\scales\9_divided_by_8.scl
!
9/8 in 12
12
!
203.91
407.82
611.73
815.64
1019.55
1223.46
1427.37
1631.28
1835.19
2039.1
2243.01
2446.92

Intervals as 3-limit ratios

Ratio		Cents
(9/8)0	1/1	0.00
(9/8)1	9/8	203.91
(9/8)2	81/64	407.82
(9/8)3	729/512	611.73
(9/8)4	6561/4096	815.64
(9/8)5	59049/32768	1019.55
(9/8)6	531441/262144	1223.46
(9/8)7	4782969/2097152	1427.37
(9/8)8	43046721/16777216	1631.28
(9/8)9	387420489/134217728	1835.19
(9/8)10	3486784401/1073741824	2039.10
(9/8)11	31381059609/8589934592	2243.01
(9/8)12	282429536481/68719476736	2446.92